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Finding the Fourth Proportional to 458,613.20, 687,689.40 and 209,013.20

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Solution

The fourth proportional to 458,613.20, 687,689.40 and 209,013.20 is: 313,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,613.20 : 687,689.40 = 209,013.20 : x
  2. Step 2: Convert to fraction form
    458,613.20/687,689.40 = 209,013.20/x
  3. Step 3: Cross multiply
    458,613.20x = 687,689.40 × 209,013.20
  4. Step 4: Simplify right side
    458,613.20x = 143,736,162,100.08
  5. Step 5: Solve for x
    x = 143,736,162,100.08/458,613.20
  6. Step 6: Final answer
    x = 313,414.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.